Search a number
-
+
990560448 = 26333715493
BaseRepresentation
bin111011000010101…
…100000011000000
32120000220200111000
4323002230003000
54012040413243
6242143052000
733355424223
oct7302540300
92500820430
10990560448
114691667a9
122378a1000
1312a2b3757
14957b15ba
155be695d3
hex3b0ac0c0

990560448 has 112 divisors (see below), whose sum is σ = 2990961760. Its totient is φ = 321242112.

The previous prime is 990560443. The next prime is 990560449. The reversal of 990560448 is 844065099.

It is a happy number.

It is a super-2 number, since 2×9905604482 = 1962420002283921408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990560443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56190 + ... + 71682.

Almost surely, 2990560448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990560448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495480880).

990560448 is an abundant number, since it is smaller than the sum of its proper divisors (2000401312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

990560448 is a wasteful number, since it uses less digits than its factorization.

990560448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15551 (or 15535 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 990560448 is about 31473.1702883583. The cubic root of 990560448 is about 996.8435298458.

The spelling of 990560448 in words is "nine hundred ninety million, five hundred sixty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 144 148 192 216 222 288 296 333 432 444 576 592 666 864 888 999 1184 1332 1728 1776 1998 2368 2664 3552 3996 5328 7104 7992 10656 15493 15984 21312 30986 31968 46479 61972 63936 92958 123944 139437 185916 247888 278874 371832 418311 495776 557748 573241 743664 836622 991552 1115496 1146482 1487328 1673244 1719723 2230992 2292964 2974656 3346488 3439446 4461984 4585928 5159169 6692976 6878892 8923968 9171856 10318338 13385952 13757784 15477507 18343712 20636676 26771904 27515568 30955014 36687424 41273352 55031136 61910028 82546704 110062272 123820056 165093408 247640112 330186816 495280224 990560448